Answer: 653.011Mpc
Explanation:
Hubble deduced that the farther the galaxy is, the more redshifted it is in its spectrum, and noted that all galaxies are "moving away from each other with a speed that increases with distance", and enunciated the now called Hubble–Lemaître Law.
This is mathematically expressed as:
(1)
Where:
is the approximate recession velocity of the galaxy
is the current Hubble constant
is the galaxy's distance
On the other hand, the equation for the Doppler shift is:
(2)
Where:
is the wavelength for the Ha line of the galaxy observed at rest
is the variation between the measured wavelength for the Ha emission line in the spectrum of this galaxy (
in this case) and the wavelength for the same Ha line observed at rest
is the speed of light
Rewriting (2):
(3)
Isolating
:
(4)
Finding
:
(5)
(6)
Substituting
in (1):
(7)
Finding
:
(8)
Finally:
(8) This is the galaxy's distance
Answer:
Output Voltage = 0.96 volts
Explanation:
As we know by the equation of transformer we have

here we know that
= voltage of primary coil = 120 Volts
= voltage of secondary coil
= number of turns in primary coil = 500
= number of turns in secondary coil = 4
now we will have


The purpose of the machine is to leverage its mechanical advantage such that the force it outputs to move the heavy object is greater than the force required for you to input.
But there's no such thing as a free lunch! When you apply the conservation of energy, the work the machine does on the object will always be equal to (in an ideal machine) or less than the work you input to the machine.
This means that you will apply a lesser force for a longer distance so that the machine can supply a greater force on the object to push it a smaller distance. That is the trade-off of using the machine: it enables you to use a smaller force but at the cost of having to apply that smaller force for a greater distance.
The answer is: The work input required will equal the work output.